Study Topics

STEM explanations organized for quick study.

Browse professor-style explanations by subject, or search for a specific concept, formula, or writing task.

Algebra

15

Equations, factoring, inequalities, slopes, and symbolic problem solving.

College Algebra

14

Functions, rational expressions, quadratics, systems, and advanced algebra foundations.

Precalculus

14

Functions, exponents, radicals, polar coordinates, and parametric equations.

Calculus

21

Derivatives, integrals, limits, rates of change, and optimization basics.

Calculus 2

19

Integration techniques, applications of integrals, improper integrals, and series.

Calculus 3

12

Partial derivatives, multiple integrals, and multivariable calculus ideas.

Differential Equations

12

Equations involving rates of change and methods for solving them.

Linear Algebra

15

Matrices, determinants, elimination, eigenvalues, and vector-based reasoning.

Trigonometry

15

Unit circle, trig functions, identities, equations, and triangle solving.

Geometry

12

Shapes, angles, coordinate geometry, and visual mathematical reasoning.

Statistics

14

Data summaries, standard deviation, distributions, tests, and intervals.

Probability

14

Counting, chance, conditional probability, Bayes' theorem, and combinations.

Discrete Math

12

Induction, recurrence relations, logic, counting, and proof foundations.

Physics

12

Core physical quantities, units, motion, forces, energy, and conceptual models.

Mechanics

15

Newton's laws, free body diagrams, energy, momentum, torque, and rotation.

Electricity and Magnetism

12

Electric fields, voltage, capacitance, magnetic fields, and induction.

Thermodynamics

12

Heat, energy transfer, thermal systems, and the laws of thermodynamics.

Waves and Optics

12

Wave motion, frequency, wavelength, simple harmonic motion, and light behavior.

Chemistry

13

pH, equilibrium, redox, reactions, and core chemical reasoning.

General Chemistry

12

Balancing equations, molarity, gases, stoichiometry, and introductory chemistry.

Organic Chemistry

12

Functional groups, structure, bonding, and organic molecule recognition.

Biology

12

DNA, photosynthesis, cellular respiration, genetics, and life science foundations.

Cell Biology

12

Cell division, cellular energy, DNA processes, and cell-level mechanisms.

Computer Science

12

Programming concepts, computation, data organization, and algorithmic thinking.

Programming Basics

12

Variables, control flow, recursion, iteration, and beginner programming ideas.

Data Structures

12

Arrays, lists, stacks, linked lists, and ways to organize data.

Algorithms

12

Big O notation, sorting, recursion, and efficient problem-solving strategies.

Engineering

12

Applied STEM ideas used in mechanics, circuits, materials, and system design.

Circuits

15

Ohm's law, Kirchhoff's laws, series circuits, parallel circuits, and circuit analysis.

Materials Science

12

Matter, structure, thermal behavior, and material properties in applied science.

Lab Reports

12

Data, observations, uncertainty, results, and clear scientific reporting.

Scientific Writing

12

Clear explanations, evidence-based conclusions, and technical communication.

Graphing

12

Linear graphs, trig graphs, function behavior, and visual problem solving.

Data Visualization

12

Charts, distributions, visual summaries, and communicating data clearly.